Uniform asymptotic stability for perturbed delay-differential equations (Q1911907)
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scientific article; zbMATH DE number 871088
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform asymptotic stability for perturbed delay-differential equations |
scientific article; zbMATH DE number 871088 |
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Uniform asymptotic stability for perturbed delay-differential equations (English)
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28 April 1996
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The authors investigate the asymptotic stability of a perturbed system of delay-differential equations \((*)\) \(x' (t)= (A(t)+ B(t)) x(t- r(t, x_t))\). Under suitable assumptions they demonstrate that the zero solution of \((*)\) is uniformly or exponentially asymptotically stable. The results are generalizations of earlier ones obtained by Yoneyama.
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asymptotic stability
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perturbed system of delay-differential equations
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